U.S.-France Cooperative Research: Heterogeneous Reaction Diffusion Avection Systems

0089590 Fitzgibbon这三年奖美国-法国合作研究涉及威廉E。休斯顿大学的费茨基、德克萨斯A M大学的杰弗里J摩根、波尔多一大的皮埃尔法布里和波尔多二大的米歇尔朗莱斯。 该项目致力于表现出高度空间异质性的反应扩散方程系统的数学分析。研究人员建议研究涉及扩散流体输运的系统和那些具有沿着浓度梯度扩散的系统。 这种性质的系统出现在工程、化学、生物学和物理学的各种情况下，特别是作为流行病学、环境化学和生物修复过程的现实模型。美国研究人员将反应扩散模型及其推广方面的专业知识带到了这次合作中。法国在数学生物学以及空间异质性分析和计算工作方面的专门知识对此起到了补充作用。该奖项代表了美国方面向NSF和法国国家科学研究中心（CNRS）提出的联合建议。 美国国家科学基金会将支付美国研究小组成员和研究生的访问费用。CNRS将支持法国研究人员访问美国。

0089590FitzgibbonThis three-year award for U.S.-France cooperative research involves William E. Fitzgibbon of the University of Houston, Jeffrey J. Morgan of Texas A&M University, Pierre Fabrie of the University of Bordeaux I, and Michel Langlais of the University of Bordeaux II. The project addresses mathematical analysis of systems of reaction diffusion equations that exhibit a high degree of spatial heterogeneity. The investigators propose to study systems involving diffusive fluid transport and those which feature diffusion along concentration gradients. Systems of this nature arise in a variety of situations in engineering, chemistry, biology, and physics, specifically, as realistic models for processes in epidemiology, environmental chemistry and biorestoration. The US researchers bring to this collaboration expertise in reaction-diffusion models and their generalizations. This is complemented by French expertise in mathematical biology and analytical and computational work in spatial heterogeneity. This award represents the US side of a joint proposal to the NSF and the French National Center for Scientific Research (CNRS). NSF will cover the expenses of visits of members of the US research group and graduate students. The CNRS will support the visits of French researchers to the United States.